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Math Help - Do I have to use By Parts?

  1. #1
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    Do I have to use By Parts?

    \int x^2(1+x^2)^2dx

    Do I have to use by parts here or can I expand the brackets and get:

    x^8/8+2x^6/6+x^4/4+c

    Thanks in advance!!!
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  2. #2
    MHF Contributor
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    Quote Originally Posted by NFZ17 View Post
    \int x^2(1+x^2)^2dx

    Do I have to use by parts here or can I expand the brackets and get:

    x^8/8+2x^6/6+x^4/4+c

    Thanks in advance!!!
    Simplest is to expand the brackets, but you should then have

    \int{\left(x^2+2x^4+x^6\right)}dx
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  3. #3
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    Thanks,

    I came up with

     x^7/7+2x^5/5+x^3/3+c

    My original answer was for

    \int x^3 (1+x^2 )^2 dx

    not

    \int x^2 (1+x^2 )^2 dx

    Sorry for the mix up!
    Thanks again
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